Essential Science and Engineering Mathematics: Linear Algebra, Differential Equations and Complex Variables

By: Ahmad Al Ali

Essential Science and Engineering Mathematics: Linear Algebra, Differential Equations and Complex Variables provides a structured introduction to the mathematical techniques commonly encountered in undergraduate engineering and applied science courses. Designed for early-stage engineering students, the book integrates linear algebra, ordinary differential equations, mathematical modeling, and foundational complex analysis into a coherent learning framework. The text begins with matrices, systems of linear equations, vector spaces, and eigenvalue problems, laying the groundwork for modern engineering analysis. It then introduces ordinary differential equations through practical solution methods, including separable equations, Bernoulli equations, variation of parameters, and Cauchy-Euler equations. Throughout the book, mathematical modeling examples demonstrate how differential equations can be used to represent and analyze engineering and scientific systems. The book concludes with an accessible treatment of complex numbers and selected topics in complex analysis, supporting applications in electrical engineering, signal processing, physics, and related disciplines. Carefully sequenced explanations, worked examples, and progressively challenging exercises help students develop confidence in analytical reasoning.

Balancing mathematical rigor with accessibility, this textbook is designed for undergraduate courses in engineering mathematics, applied mathematics, physical sciences, computer science, data science, and related STEM fields. It also serves as a valuable resource for independent learners seeking a clear, practical foundation in essential mathematical methods and their engineering applications.

• Format: Hardcover
• Language: English
• ISBN: 3032429242
• ISBN13: 9783032429247
• Release Date: March 2027
• Publisher: Springer
• Dimensions: 6.1" x 9.3"